505508256000 has 576 divisors, whose sum is σ = 2035245139200. Its totient is φ = 122545152000.

The previous prime is 505508255999. The next prime is 505508256157. The reversal of 505508256000 is 652805505.

505508256000 is a `hidden beast` number, since 50 + 550 + 8 + 2 + 56 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9477406 + ... + 9530594.

It is an arithmetic number, because the mean of its divisors is an integer number (3533411700).

Almost surely, 2^505508256000 is an apocalyptic number.

505508256000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505508256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017622569600).

505508256000 is an abundant number, since it is smaller than the sum of its proper divisors (1529736883200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505508256000 is a wasteful number, since it uses less digits than its factorization.

505508256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53240 (or 53210 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 505508256000 in words is "five hundred five billion, five hundred eight million, two hundred fifty-six thousand".